Simultaneous determination of two coefficients in the Riemannian hyperbolic equation from boundary measurements

Mourad Bellassoued; Zouhour Rezig

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arXiv · 1805.00339

Simultaneous determination of two coefficients in the Riemannian hyperbolic equation from boundary measurements

Mourad Bellassoued·Zouhour Rezig

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Abstract

In this paper we consider the inverse problem of determining on a compact Riemannian manifold the electric potential and the absorption coefficient in the wave equation with Dirichlet data from measured Neumann boundary observations. This information is enclosed in the dynamical Dirichlet-to-Neumann map associated to the wave equation. We prove in dimension $n \geq 2$ that the knowledge of the Dirichlet-to-Neumann map for the wave equation uni

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Mourad Bellassoued, Zouhour Rezig. 2018-04-28. Simultaneous determination of two coefficients in the Riemannian hyperbolic equation from boundary measurements. https://arxiv.org/abs/1805.00339

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